LaTeX 备忘清单

本备忘单总结了 LaTeX 常用显示数学符号的参考列表和一些 KaTeX 的应用示例。

入门

介绍

LaTeX 基于 TEX 的排版系统,适用于生成高印刷质量的科技和数学、物理文档。

KaTeX 只处理 LaTeX 的数学符号的一个更小的子集,用于 web 上展示

示例

f(x)=fξ^e2πiξxdξ% \f is defined as #1f(#2) using the macro
f\relax(x) = \int_{-\infty}^\infty
    f\hat\xi\,e^{2 \pi i \xi x}
    \,d\xi

% \f is defined as #1f(#2) using the macro
f\relax(x) = \int_{-\infty}^\infty
    f\hat\xi\,e^{2 \pi i \xi x}
    \,d\xi

行内展示

基于 KaTeX 在一行
展示示例: `KaTeX:\int_0^\infty x^2 dx`

基于 KaTeX 在一行展示示例: 0x2dx\int_0^\infty x^2 dx

Supported Functions

Accents

:-:-:-
aa' a'a~\tilde{a} \tilde{a}g˚\mathring{g} \mathring{g}
aa'' a''ac~\widetilde{ac} \widetilde{ac}AB\overgroup{AB} \overgroup{AB}
aa^{\prime} a^{\prime}AB~\utilde{AB} \utilde{AB}AB\undergroup{AB} \undergroup{AB}
aˊ\acute{a} \acute{a}F\vec{F} \vec{F}AB\Overrightarrow{AB} \Overrightarrow{AB}
yˉ\bar{y} \bar{y}AB\overleftarrow{AB} \overleftarrow{AB}AB\overrightarrow{AB} \overrightarrow{AB}
a˘\breve{a} \breve{a}AB\underleftarrow{AB} \underleftarrow{AB}AB\underrightarrow{AB} \underrightarrow{AB}
aˇ\check{a} \check{a}ac\overleftharpoon{ac} \overleftharpoon{ac}ac\overrightharpoon{ac} \overrightharpoon{ac}
a˙\dot{a} \dot{a}AB\overleftrightarrow{AB} \overleftrightarrow{AB}AB\overbrace{AB} \overbrace{AB}
a¨\ddot{a} \ddot{a}AB\underleftrightarrow{AB} \underleftrightarrow{AB}AB\underbrace{AB} \underbrace{AB}
aˋ\grave{a} \grave{a}AB\overline{AB} \overline{AB}ABundefined\overlinesegment{AB} \overlinesegment{AB}
θ^\hat{\theta} \hat{\theta}AB\underline{AB} \underline{AB}ABundefined\underlinesegment{AB} \underlinesegment{AB}
ac^\widehat{ac} \widehat{ac}acˇ\widecheck{ac} \widecheck{ac}X\underbar{X} \underbar{X}

\text{…}中的强调功能

:-:-:-
aˊ\'{a} \'{a}a˜\~{a} \~{a}
a˙\.{a} \.{a}a˝\H{a} \H{a}
aˋ\\\`{a} \`{a}aˉ\={a} \={a}
a¨\"{a} \"{a}aˇ\v{a} \v{a}
aˆ\^{a} \^{a}a˘\u{a} \u{a}
a˚\r{a} \r{a}

Delimiter Sizing

:-:-
(AB)\left(\LARGE{AB}\right)\left(\LARGE{AB}\right)
(((((( \big( \Big( \bigg( \Bigg(( \big( \Big( \bigg( \Bigg(

:-:-:-:-:-
\left\big\bigl\bigm\bigr
\middle\Big\Bigl\Bigm\Bigr
\right\bigg\biggl\biggm\biggr
\\Bigg\Biggl\Biggm\Biggr

希腊和希伯来字母 Greek and Hebrew letters

预览方法预览方法预览方法预览方法预览方法预览方法
α\alpha\alphaκ\kappa\kappaψ\psi\psiϝ\digamma\digammaΔ\Delta\DeltaΘ\Theta\Theta
β\beta\betaλ\lambda\lambdaρ\rho\rhoε\varepsilon\varepsilonΓ\Gamma\GammaΥ\Upsilon\Upsilon
χ\chi\chiμ\mu\muσ\sigma\sigmaϰ\varkappa\varkappaΛ\Lambda\LambdaΞ\Xi\Xi
δ\delta\deltaν\nu\nuτ\tau\tauφ\varphi\varphiΩ\Omega\Omega
ϵ\epsilon\epsilonoooθ\theta\thetaϖ\varpi\varpiΦ\Phi\Phi\aleph\aleph
η\eta\etaω\omega\omegaυ\upsilon\upsilonϱ\varrho\varrhoΠ\Pi\Pi\beth\beth
γ\gamma\gammaϕ\phi\phiξ\xi\xiς\varsigma\varsigmaΨ\Psi\Psi\daleth\daleth
ι\iota\iotaπ\pi\piζ\zeta\zetaϑ\vartheta\varthetaΣ\Sigma\Sigma\gimel\gimel

其它字母

:-:-:-:-:-:-:-:-:-:-
ı\imath\imath\nabla\nabla\Im\ImR\Reals\RealsŒ\text{\OE}\text{\OE}
ȷ\jmath\jmath\partial\partial\image\image\wp\wpø\text{\o}\text{\o}
\aleph\aleph\Game\Gamek\Bbbk\Bbbk\weierp\weierpØ\text{\O}\text{\O}
\alef\alef\Finv\FinvN\N\NZ\Z\Zß\text{\ss}\text{\ss}
\alefsym\alefsymC\cnums\cnumsN\natnums\natnumsa˚\text{\aa}\text{\aa}ı\text{\i}\text{\i}
\beth\bethC\Complex\ComplexR\R\RA˚\text{\AA}\text{\AA}ȷ\text{\j}\text{\j}
\gimel\gimel\ell\ell\Re\Reæ\text{\ae}\text{\ae}
\daleth\daleth\hbar\hbar\real\realÆ\text{\AE}\text{\AE}
ð\eth\eth\hslash\hslashR\reals\realsœ\text{\oe}\text{\oe}

字母和 Unicode

预览方法预览方法预览方法预览方法
A\Alpha\AlphaB\Beta\BetaΓ\Gamma\GammaΔ\Delta\Delta
E\Epsilon\EpsilonZ\Zeta\ZetaH\Eta\EtaΘ\Theta\Theta
I\Iota\IotaK\Kappa\KappaΛ\Lambda\LambdaM\Mu\Mu
N\Nu\NuΞ\Xi\XiO\Omicron\OmicronΠ\Pi\Pi
P\Rho\RhoΣ\Sigma\SigmaT\Tau\TauΥ\Upsilon\Upsilon
Φ\Phi\PhiX\Chi\ChiΨ\Psi\PsiΩ\Omega\Omega
Γ\varGamma\varGammaΔ\varDelta\varDeltaΘ\varTheta\varThetaΛ\varLambda\varLambda
Ξ\varXi\varXiΠ\varPi\varPiΣ\varSigma\varSigmaΥ\varUpsilon\varUpsilon
Φ\varPhi\varPhiΨ\varPsi\varPsiΩ\varOmega\varOmega
α\alpha\alphaβ\beta\betaγ\gamma\gammaδ\delta\delta
ϵ\epsilon\epsilonζ\zeta\zetaη\eta\etaθ\theta\theta
ι\iota\iotaκ\kappa\kappaλ\lambda\lambdaμ\mu\mu
ν\nu\nuξ\xi\xiο\omicron\omicronπ\pi\pi
ρ\rho\rhoσ\sigma\sigmaτ\tau\tauυ\upsilon\upsilon
ϕ\phi\phiχ\chi\chiψ\psi\psiω\omega\omega
ε\varepsilon\varepsilonϰ\varkappa\varkappaϑ\vartheta\varthetaϑ\thetasym\thetasym
ϖ\varpi\varpiϱ\varrho\varrhoς\varsigma\varsigmaφ\varphi\varphi
ϝ\digamma\digamma

注解

:-:-:-:-:-
5\cancel{5}\cancel{5}a+b+cnote\overbrace{a+b+c}^{\text{note}}\overbrace{a+b+c}^{\text{note}}
5\bcancel{5}\bcancel{5}a+b+cnote\underbrace{a+b+c}_{\text{note}}\underbrace{a+b+c}_{\text{note}}
ABC\xcancel{ABC}\xcancel{ABC}\not =\not =
abc\sout{abc}\sout{abc}π=cd\boxed{\pi=\frac c d}\boxed{\pi=\frac c d}
$an\$a_{\angl n} MD语法冲突$a_{\angl n}ana_\anglna_\angln
78\phase{-78^\circ}\phase{-78^\circ}

\tag{hi} x+y^{2x}

x+y2x(hi)\tag{hi} x+y^{2x}

\tag*{hi} x+y^{2x}

x+y2xhi\tag*{hi} x+y^{2x}

垂直布局

:-:-:-:-:-:-
xnx_nx_n=!\stackrel{!}{=}\stackrel{!}{=}aba \atop ba \atop b
exe^xe^x=!\overset{!}{=}\overset{!}{=}abca\raisebox{0.25em}{$b$}ca\raisebox{0.25em}{$b$}c
uo_u^o_u^o=!\underset{!}{=}\underset{!}{=}a+(abc)a+\left(\vcenter{\hbox{$\frac{\frac a b}c$}}\right)a+\left(\vcenter{\hbox{$\frac{\frac a b}c$}}\right)
0<i<m0<j<n\sum_{\substack{0<i<m\\0<j<n}}\sum_{\substack{0<i<m\\0<j<n}}

重叠和间距

:-:-:-:-
=/{=}\mathllap{/\,} {=}\mathllap{/,}(x2)\left(x^{\smash{2}}\right)\left(x^{\smash{2}}\right)
/=\mathrlap{\,/}{=} \mathrlap{,/}{=}y\sqrt{\smash[b]{y}}\sqrt{\smash[b]{y}}

\sum_{\mathclap{1\le i\le j\le n}} x_{ij}

1ijnxij\sum_{\mathclap{1\le i\le j\le n}} x_{ij}

LaTeX\LaTeX math constructs

预览方法预览方法预览方法
abcxyz\frac{abc}{xyz}\frac{abc}{xyz}abc\overline{abc}\overline{abc}abc\overrightarrow{abc}\overrightarrow{abc}
ff'f'abc\underline{abc}\underline{abc}abc\overleftarrow{abc}\overleftarrow{abc}
abc\sqrt{abc}\sqrt{abc}abc^\widehat{abc}\widehat{abc}abc\overbrace{abc}\overbrace{abc}
abcn\sqrt[n]{abc}\sqrt[n]{abc}abc~\widetilde{abc}\widetilde{abc}abc\underbrace{abc}\underbrace{abc}

分隔符 Delimiters

预览方法预览方法预览方法预览方法预览方法
()()()()\lparen \rparen\lparen \rparen⌈ ⌉⌈ ⌉\lceil \rceil\lceil \rceil\uparrow\uparrow
[][][][]\lbrack \rbrack\lbrack \rbrack⌊ ⌋⌊ ⌋\lfloor \rfloor\lfloor \rfloor\downarrow\downarrow
{}\{ \}{}{}\lbrace \rbrace\lbrace \rbrace⎰⎱⎰⎱\lmoustache \rmoustache\lmoustache \rmoustache\updownarrow\updownarrow
⟨ ⟩⟨⟩\langle \rangle\langle \rangle⟮ ⟯⟮ ⟯\lgroup \rgroup\lgroup \rgroup\Uparrow\Uparrow
|\vert\vert┌ ┐┌ ┐\ulcorner \urcorner\ulcorner \urcorner\Downarrow\Downarrow
| (MD语法冲突)\|\Vert\Vert└ ┘└ ┘\llcorner \lrcorner\llcorner \lrcorner\Updownarrow\Updownarrow
∣ ∣\lvert \rvert\lVert \rVert\lVert \rVert\left.\right.\\backslash\backslash
\lang \rang\lang \rang<>\lt \gt\lt \gt⟦ ⟧⟦ ⟧\llbracket \rrbracket\llbracket \rrbracket\lBrace \rBrace\lBrace \rBrace

可以使用一对表达式 \left s1s_1\right s2s_2 来将分隔符 s1s_1s2s_2 的高度与其内容的高度进行匹配,例如:

:-:-:-:-:-:-:-:-:-:-:-
\left|exprexpr\right|\left\{exprexpr\right\}\left\Vertexprexpr\right.

可变大小的符号

预览方法预览方法预览方法预览方法预览方法
\sum\sum\int\int\biguplus\biguplus\bigoplus\bigoplus\bigvee\bigvee
\prod\prod\oint\oint\bigcap\bigcap\bigotimes\bigotimes\bigwedge\bigwedge
\coprod\coprod\iint\iint\bigcup\bigcup\bigodot\bigodot\bigodot\bigodot

标准函数名称

预览方法预览方法预览方法预览方法
arccos\arccos\arccosarcsin\arcsin\arcsinarcsin\arcsin\arcsinarg\arg\arg
cos\cos\coscosh\cosh\coshcot\cot\cotcoth\coth\coth
csc\csc\cscdeg\deg\degdet\det\detdim\dim\dim
exp\exp\expgcd\gcd\gcdhom\hom\hominf\inf\inf
ker\ker\kerlg\lg\lglim\lim\limlim inf\liminf\liminf
lim sup\limsup\limsupln\ln\lnlog\log\logmax\max\max
min\min\minPr\Pr\Prsec\sec\secsin\sin\sin
sinh\sinh\sinhsup\sup\suptan\tan\tantanh\tanh\tanh

函数名应该用罗马字体,而不是斜体,例如:

:-:-:-:-
Correct:\tan(at-n\pi)\rightarrowtan(atnπ)\tan(at-n\pi)
Incorrect:tan(at-n\pi)\rightarrowtan(atnπ)tan(at-n\pi)

逻辑与集合论

:-:-:-:-:-:-:-:-
\forall\forall\complement\complement\therefore\therefore\emptyset\emptyset
\exists\exists\subset\subset\because\because\empty\empty
\exist\exist\supset\supset\mapsto\mapsto\varnothing\varnothing
\nexists\nexists\mid\mid\to\to    \implies\implies
\in\in\land\land\gets\gets    \impliedby\impliedby
\isin\isin\lor\lor\leftrightarrow\leftrightarrow    \iff\iff
\notin\notin\ni\ni\notni\notni¬\neg ¬\lnot\neg\lnot

:-:-:-:-
{x  |  x<12}\Set{ x | x<\frac 1 2 }\Set{ x | x<\frac 1 2 }{xx<5}\set{x|x<5}\set{x|x<5}

宏指令

:-:-:-:-
x2+x2\def\foo{x^2} \foo + \foo\def\foo{x^2} \foo + \fooy2+y2\gdef\bar#1{#1^2} \bar{y} + \bar{y}\gdef\bar#1{#1^2} \bar{y} + \bar{y}

特殊符号

:-:-:-:-:-:-
ϕ\bra{\phi}\bra{\phi}ψ\ket{\psi}\ket{\psi}ϕψ\braket{\phi|\psi}\braket{\phi|\psi}
ϕ\Bra{\phi}\Bra{\phi}ψ\Ket{\psi}\Ket{\psi}ϕ|2t2|ψ\Braket{ ϕ | \frac{∂^2}{∂ t^2} | ψ }\Braket{ ϕ | \frac{∂^2}{∂ t^2} | ψ }

运算符

数学运算符

:-:-:-:-:-:-:-:-
arcsin\arcsin\arcsincosec\cosec\cosecdeg\deg\degsec\sec\sec
arccos\arccos\arccoscosh\cosh\coshdim\dim\dimsin\sin\sin
arctan\arctan\arctancot\cot\cotexp\exp\expsinh\sinh\sinh
arctg\arctg\arctgcotg\cotg\cotghom\hom\homsh\sh\sh
arcctg\arcctg\arcctgcoth\coth\cothker\ker\kertan\tan\tan
arg\arg\argcsc\csc\csclg\lg\lgtanh\tanh\tanh
ch\ch\chctg\ctg\ctgln\ln\lntg\tg\tg
cos\cos\coscth\cth\cthlog\log\logth\th\th
f\operatorname{f}\operatorname{f}
arg max\argmax\argmaxinj lim\injlim\injlimmin\min\minlim\varinjlim\varinjlim
arg min\argmin\argminlim\lim\limplim\plim\plimlim\varliminf\varliminf
det\det\detlim inf\liminf\liminfPr\Pr\Prlim\varlimsup\varlimsup
gcd\gcd\gcdlim sup\limsup\limsupproj lim\projlim\projlimlim\varprojlim\varprojlim
inf\inf\infmax\max\maxsup\sup\supf\operatorname*{f}\operatorname*{f}
f\operatornamewithlimits{f}\operatornamewithlimits{f}

大运算符

:-:-:-:-:-:-:-:-
\sum\sum\prod\prod\bigotimes\bigotimes\bigvee\bigvee
\int\int\coprod\coprod\bigoplus\bigoplus\bigwedge\bigwedge
\iint\iint\intop\intop\bigodot\bigodot\bigcap\bigcap
\iiint\iiint\smallint\smallint\biguplus\biguplus\bigcup\bigcup
\oint\oint\oiint\oiint\oiiint\oiiint\bigsqcup\bigsqcup

分数和二项式

:-:-:-:-
ab\frac{a}{b}\frac{a}{b}ab\tfrac{a}{b}\tfrac{a}{b}
ab{a \over b}{a \over b}ab\dfrac{a}{b}\dfrac{a}{b}
(aa+1]\genfrac ( ] {2pt}{1}a{a+1}\genfrac ( ] {2pt}{1}a{a+1}ab+1{a \above{2pt} b+1}{a \above{2pt} b+1}
a/ba/ba/ba1+1b\cfrac{a}{1 + \cfrac{1}{b}}\cfrac{a}{1 + \cfrac{1}{b}}
:-:-:-:-
(nk)\binom{n}{k}\binom{n}{k}(nk)\dbinom{n}{k}\dbinom{n}{k}
{nk}{n\brace k}{n\brace k}(nk){n \choose k}{n \choose k}
(nk)\tbinom{n}{k}\tbinom{n}{k}[nk]{n\brack k}{n\brack k}

\sqrt

:-:-:-:-
x\sqrt{x}\sqrt{x}x3\sqrt[3]{x}\sqrt[3]{x}

二元运算符

:-:-:-:-:-:-:-:-
+++\cdot\cdot\gtrdot\gtrdotx(moda)x \pmod ax \pmod a
--\cdotp\cdotp\intercal\intercalx(a)x \pod ax \pod a
///\centerdot\centerdot\land\land\rhd\rhd
**\circ\circ\leftthreetimes\leftthreetimes\rightthreetimes\rightthreetimes
⨿\amalg\amalg\circledast\circledast.\ldotp\ldotp\rtimes\rtimes
&\And\And\circledcirc\circledcirc\lor\lor\setminus\setminus
\ast\ast\circleddash\circleddash\lessdot\lessdot\smallsetminus\smallsetminus
\barwedge\barwedge\Cup\Cup\lhd\lhd\sqcap\sqcap
\bigcirc\bigcirc\cup\cup\ltimes\ltimes\sqcup\sqcup
mod\bmod\bmod\curlyvee\curlyveexmodax\mod ax\mod a×\times\times
\boxdot\boxdot\curlywedge\curlywedge\mp\mp\unlhd\unlhd
\boxminus\boxminus÷\div\div\odot\odot\unrhd\unrhd
\boxplus\boxplus\divideontimes\divideontimes\ominus\ominus\uplus\uplus
\boxtimes\boxtimes\dotplus\dotplus\oplus\oplus\vee\vee
\bullet\bullet\doublebarwedge\doublebarwedge\otimes\otimes\veebar\veebar
\Cap\Cap\doublecap\doublecap\oslash\oslash\wedge\wedge
\cap\cap\doublecup\doublecup±\pm\pm±\plusmn\plusmn
\wr\wr`

关系

关系

:-:-:-:-:-:-:-:-
===\doteqdot\doteqdot\lessapprox\lessapprox\smile\smile
<<<\eqcirc\eqcirc\lesseqgtr\lesseqgtr\sqsubset\sqsubset
>>>\eqcolon\eqcolon\minuscolon\lesseqqgtr\lesseqqgtr\sqsubseteq\sqsubseteq
:::\Eqcolon\Eqcolon\minuscoloncolon\lessgtr\lessgtr\sqsupset\sqsupset
\approx\approx\eqqcolon\eqqcolon\equalscolon\lesssim\lesssim\sqsupseteq\sqsupseteq
:\approxcolon\approxcolon=\Eqqcolon\Eqqcolon\equalscoloncolon\ll\ll\Subset\Subset
\approxcoloncolon\approxcoloncolon\eqsim\eqsim\lll\lll\subset\subset\sub
\approxeq\approxeq\eqslantgtr\eqslantgtr\llless\llless\subseteq\subseteq\sube
\asymp\asymp\eqslantless\eqslantless<\lt\lt\subseteqq\subseteqq
\backepsilon\backepsilon\equiv\equiv\mid\mid\succ\succ
\backsim\backsim\fallingdotseq\fallingdotseq\models\models\succapprox\succapprox
\backsimeq\backsimeq\frown\frown\multimap\multimap\succcurlyeq\succcurlyeq
\between\between\ge\ge\origof\origof\succeq\succeq
\bowtie\bowtie\geq\geq\owns\owns\succsim\succsim
\bumpeq\bumpeq\geqq\geqq\parallel\parallel\Supset\Supset
\Bumpeq\Bumpeq\geqslant\geqslant\perp\perp\supset\supset
\circeq\circeq\gg\gg\pitchfork\pitchfork\supseteq\supseteq\supe
:\colonapprox\colonapprox\ggg\ggg\prec\prec\supseteqq\supseteqq
\Colonapprox\Colonapprox\coloncolonapprox\gggtr\gggtr\precapprox\precapprox\thickapprox\thickapprox
:\coloneq\coloneq\colonminus>\gt\gt\preccurlyeq\preccurlyeq\thicksim\thicksim
\Coloneq\Coloneq\coloncolonminus\gtrapprox\gtrapprox\preceq\preceq\trianglelefteq\trianglelefteq
\coloneqq\coloneqq\colonequals\gtreqless\gtreqless\precsim\precsim\triangleq\triangleq
=\Coloneqq\Coloneqq\coloncolonequals\gtreqqless\gtreqqless\propto\propto\trianglerighteq\trianglerighteq
:\colonsim\colonsim\gtrless\gtrless\risingdotseq\risingdotseq\varpropto\varpropto
\Colonsim\Colonsim\coloncolonsim\gtrsim\gtrsim\shortmid\shortmid\vartriangle\vartriangle
\cong\cong\imageof\imageof\shortparallel\shortparallel\vartriangleleft\vartriangleleft
\curlyeqprec\curlyeqprec\in\in\isin\sim\sim\vartriangleright\vartriangleright
\curlyeqsucc\curlyeqsucc\Join\Join:\simcolon\simcolon:\vcentcolon\vcentcolon\ratio
\dashv\dashv\le\le\simcoloncolon\simcoloncolon\vdash\vdash
\dblcolon\dblcolon\coloncolon\leq\leq\simeq\simeq\vDash\vDash
\doteq\doteq\leqq\leqq\smallfrown\smallfrown\Vdash\Vdash
\Doteq\Doteq\leqslant\leqslant\smallsmile\smallsmile\Vvdash\Vvdash

否定关系

:-:-:-:-:-:-:-:-
\gnapprox\gnapprox\ngeqslant\ngeqslant\nsubseteq\nsubseteq\precneqq\precneqq
\gneq\gneq\ngtr\ngtr\nsubseteqq\nsubseteqq\precnsim\precnsim
\gneqq\gneqq\nleq\nleq\nsucc\nsucc\subsetneq\subsetneq
\gnsim\gnsim\nleqq\nleqq\nsucceq\nsucceq\subsetneqq\subsetneqq
\gvertneqq\gvertneqq\nleqslant\nleqslant\nsupseteq\nsupseteq\succnapprox\succnapprox
\lnapprox\lnapprox\nless\nless\nsupseteqq\nsupseteqq\succneqq\succneqq
\lneq\lneq\nmid\nmid\ntriangleleft\ntriangleleft\succnsim\succnsim
\lneqq\lneqq\notin\notin\ntrianglelefteq\ntrianglelefteq\supsetneq\supsetneq
\lnsim\lnsim\notni\notni\ntriangleright\ntriangleright\supsetneqq\supsetneqq
\lvertneqq\lvertneqq\nparallel\nparallel\ntrianglerighteq\ntrianglerighteq\varsubsetneq\varsubsetneq
\ncong\ncong\nprec\nprec\nvdash\nvdash\varsubsetneqq\varsubsetneqq
\ne\ne\npreceq\npreceq\nvDash\nvDash\varsupsetneq\varsupsetneq
\neq\neq\nshortmid\nshortmid\nVDash\nVDash\varsupsetneqq\varsupsetneqq
\ngeq\ngeq\nshortparallel\nshortparallel\nVdash\nVdash
\ngeqq\ngeqq\nsim\nsim\precnapprox\precnapprox

\not = \not =

箭头

:-:-:-:-:-:-
\circlearrowleft\circlearrowleft\leftharpoonup\leftharpoonup\rArr\rArr
\circlearrowright\circlearrowright\leftleftarrows\leftleftarrows\rarr\rarr
\curvearrowleft\curvearrowleft\leftrightarrow\leftrightarrow\restriction\restriction
\curvearrowright\curvearrowright\Leftrightarrow\Leftrightarrow\rightarrow\rightarrow
\Darr\Darr\leftrightarrows\leftrightarrows\Rightarrow\Rightarrow
\dArr\dArr\leftrightharpoons\leftrightharpoons\rightarrowtail\rightarrowtail
\darr\darr\leftrightsquigarrow\leftrightsquigarrow\rightharpoondown\rightharpoondown
\dashleftarrow\dashleftarrow\Lleftarrow\Lleftarrow\rightharpoonup\rightharpoonup
\dashrightarrow\dashrightarrow\longleftarrow\longleftarrow\rightleftarrows\rightleftarrows
\downarrow\downarrow\Longleftarrow\Longleftarrow\rightleftharpoons\rightleftharpoons
\Downarrow\Downarrow\longleftrightarrow\longleftrightarrow\rightrightarrows\rightrightarrows
\downdownarrows\downdownarrows\Longleftrightarrow\Longleftrightarrow\rightsquigarrow\rightsquigarrow
\downharpoonleft\downharpoonleft\longmapsto\longmapsto\Rrightarrow\Rrightarrow
\downharpoonright\downharpoonright\longrightarrow\longrightarrow\Rsh\Rsh
\gets\gets\Longrightarrow\Longrightarrow\searrow\searrow
\Harr\Harr\looparrowleft\looparrowleft\swarrow\swarrow
\hArr\hArr\looparrowright\looparrowright\to\to
\harr\harr\Lrarr\Lrarr\twoheadleftarrow\twoheadleftarrow
\hookleftarrow\hookleftarrow\lrArr\lrArr\twoheadrightarrow\twoheadrightarrow
\hookrightarrow\hookrightarrow\lrarr\lrarr\Uarr\Uarr
    \iff\iff\Lsh\Lsh\uArr\uArr
    \impliedby\impliedby\mapsto\mapsto\uarr\uarr
    \implies\implies\nearrow\nearrow\uparrow\uparrow
\Larr\Larr\nleftarrow\nleftarrow\Uparrow\Uparrow
\lArr\lArr\nLeftarrow\nLeftarrow\updownarrow\updownarrow
\larr\larr\nleftrightarrow\nleftrightarrow\Updownarrow\Updownarrow
\leadsto\leadsto\nLeftrightarrow\nLeftrightarrow\upharpoonleft\upharpoonleft
\leftarrow\leftarrow\nrightarrow\nrightarrow\upharpoonright\upharpoonright
\Leftarrow\Leftarrow\nRightarrow\nRightarrow\upuparrows\upuparrows
\leftarrowtail\leftarrowtail\nwarrow\nwarrow
\leftharpoondown\leftharpoondown\Rarr\Rarr

可扩展箭头

:-:-:-:-:-:-
abc\xleftarrow{abc}\xleftarrow{abc}underover\xrightarrow[under]{over}\xrightarrow[under]{over}
abc\xLeftarrow{abc}\xLeftarrow{abc}abc\xRightarrow{abc}\xRightarrow{abc}
abc\xleftrightarrow{abc}\xleftrightarrow{abc}abc\xLeftrightarrow{abc}\xLeftrightarrow{abc}
abc\xhookleftarrow{abc}\xhookleftarrow{abc}abc\xhookrightarrow{abc}\xhookrightarrow{abc}
abc\xtwoheadleftarrow{abc}\xtwoheadleftarrow{abc}abc\xtwoheadrightarrow{abc}\xtwoheadrightarrow{abc}
abc\xleftharpoonup{abc}\xleftharpoonup{abc}abc\xrightharpoonup{abc}\xrightharpoonup{abc}
abc\xleftharpoondown{abc}\xleftharpoondown{abc}abc\xrightharpoondown{abc}\xrightharpoondown{abc}
abc\xleftrightharpoons{abc}\xleftrightharpoons{abc}abc\xrightleftharpoons{abc}\xrightleftharpoons{abc}
abc\xtofrom{abc}\xtofrom{abc}abc\xmapsto{abc}\xmapsto{abc}
=abc\xlongequal{abc}\xlongequal{abc}

符号和标点符号

符号和标点符号

:-:-:-:-:-:-
% comment% comment\dots\dotsKaTeX\KaTeX\KaTeX
%\%\%\cdots\cdotsLaTeX\LaTeX\LaTeX
#\#\#\ddots\ddotsTeX\TeX\TeX
&\&\&\ldots\ldots\nabla\nabla
_\_\_\vdots\vdots\infty\infty
_\text{\textunderscore}\text{\textunderscore}\dotsb\dotsb\infin\infin
\text{--}\text{--}\dotsc\dotsc\checkmark\checkmark
\text{\textendash}\text{\textendash} ⁣\dotsi\dotsi\dag\dag
\text{---}\text{---}\dotsm\dotsm\dagger\dagger
\text{\textemdash}\text{\textemdash}\dotso\dotso\text{\textdagger}\text{\textdagger}
~\text{\textasciitilde}\text{\textasciitilde}\sdot\sdot\ddag\ddag
^\text{\textasciicircum}\text{\textasciicircum}\mathellipsis\mathellipsis\ddagger\ddagger
``\text{\textellipsis}\text{\textellipsis}\text{\textdaggerdbl}\text{\textdaggerdbl}
\text{\textquoteleft}text{\textquoteleft}\Box\Box\Dagger\Dagger
\lq\lq\square\square\angle\angle
\text{\textquoteright}\text{\textquoteright}\blacksquare\blacksquare\measuredangle\measuredangle
\rq\rq\triangle\triangle\sphericalangle\sphericalangle
\text{\textquotedblleft}\text{\textquotedblleft}\triangledown\triangledown\top\top
"""\triangleleft\triangleleft\bot\bot
\text{\textquotedblright}\text{\textquotedblright}\triangleright\triangleright$\$\$
 ⁣:\colon\colon\bigtriangledown\bigtriangledown$\text{\textdollar}\text{\textdollar}
\backprime\backprime\bigtriangleup\bigtriangleup£\pounds\pounds
\prime\prime\blacktriangle\blacktriangle£\mathsterling\mathsterling
<\text{\textless}\text{\textless}\blacktriangledown\blacktriangledown£\text{\textsterling}\text{\textsterling}
>\text{\textgreater}\text{\textgreater}\blacktriangleleft\blacktriangleleft¥\yen\yen
|\text{\textbar}\text{\textbar}\blacktriangleright\blacktriangleright\surd\surd
\text{\textbardbl}\text{\textbardbl}\diamond\diamond°\degree\degree
{\text{\textbraceleft}\text{\textbraceleft}\Diamond\Diamond°\text{\textdegree}\text{\textdegree}
}\text{\textbraceright}\text{\textbraceright}\lozenge\lozenge\mho\mho
\\text{\textbackslash}\text{\textbackslash}\blacklozenge\blacklozenge\diagdown\diagdown
\text{\P}\text{\P}\P\star\star\diagup\diagup
§\text{\S}\text{\S}\S\bigstar\bigstar\flat\flat
§\text{\sect}\text{\sect}\clubsuit\clubsuit\natural\natural
©\copyright\copyright\clubs\clubs\sharp\sharp
®\circledR\circledR\diamondsuit\diamondsuit\heartsuit\heartsuit
®\text{\textregistered}\text{\textregistered}\diamonds\diamonds\hearts\hearts
\circledS\circledS\spadesuit\spadesuit\spades\spades
a\text{\textcircled a}\text{\textcircled a}\maltese\maltese\minuso\minuso

Environments

Environments 1

abcd\begin{matrix}
   a & b \\
   c & d
\end{matrix}
\begin{matrix}
   a & b \\
   c & d
\end{matrix}

Environments 2

abcd\begin{array}{cc}
   a & b \\
   c & d
\end{array}
\begin{array}{cc}
   a & b \\
   c & d
\end{array}

Environments 3

(abcd)\begin{pmatrix}
   a & b \\
   c & d
\end{pmatrix}
\begin{pmatrix}
   a & b \\
   c & d
\end{pmatrix}

Environments 4

[abcd]\begin{bmatrix}
   a & b \\
   c & d
\end{bmatrix}
\begin{bmatrix}
   a & b \\
   c & d
\end{bmatrix}

Environments 5

abcd\begin{vmatrix}
   a & b \\
   c & d
\end{vmatrix}
\begin{vmatrix}
   a & b \\
   c & d
\end{vmatrix}

Environments 6

abcd\begin{Vmatrix}
   a & b \\
   c & d
\end{Vmatrix}
\begin{Vmatrix}
   a & b \\
   c & d
\end{Vmatrix}

Environments 7

{abcd}\begin{Bmatrix}
   a & b \\
   c & d
\end{Bmatrix}
\begin{Bmatrix}
   a & b \\
   c & d
\end{Bmatrix}

Environments 8

abcdefghi\def\arraystretch{1.5}
   \begin{array}{c:c:c}
   a & b & c \\ \hline
   d & e & f \\
   \hdashline
   g & h & i
\end{array}
\def\arraystretch{1.5}
   \begin{array}{c:c:c}
   a & b & c \\ \hline
   d & e & f \\
   \hdashline
   g & h & i
\end{array}

Environments 9

x={aif bcif dx = \begin{cases}
   a &\text{if } b \\
   c &\text{if } d
\end{cases}
x = \begin{cases}
   a &\text{if } b \\
   c &\text{if } d
\end{cases}

Environments 10

aif bcif d}\begin{rcases}
   a &\text{if } b \\
   c &\text{if } d
\end{rcases}⇒…
\begin{rcases}
   a &\text{if } b \\
   c &\text{if } d
\end{rcases}⇒…

Environments 11

abcd\begin{smallmatrix}
   a & b \\
   c & d
\end{smallmatrix}
\begin{smallmatrix}
   a & b \\
   c & d
\end{smallmatrix}

Environments 12

iΛ0<j<n\sum_{
\begin{subarray}{l}
   i\in\Lambda\\
   0<j<n
\end{subarray}}
\sum_{
\begin{subarray}{l}
   i\in\Lambda\\
   0<j<n
\end{subarray}}

Environments 13

a=b+c=e+f\begin{equation}
\begin{split}  a &=b+c\\
      &=e+f
\end{split}
\end{equation}
\begin{equation}
\begin{split}  a &=b+c\\
      &=e+f
\end{split}
\end{equation}

Environments 14

a=b+cd+e=f\begin{align}
   a&=b+c \\
   d+e&=f
\end{align}
\begin{align}
   a&=b+c \\
   d+e&=f
\end{align}

Environments 15

a=be=b+c\begin{gather}
   a=b \\
   e=b+c
\end{gather}
\begin{gather}
   a=b \\
   e=b+c
\end{gather}

Environments 16

10x+3y=23x+13y=4\begin{alignat}{2}
   10&x+&3&y=2\\
   3&x+&13&y=4
\end{alignat}
\begin{alignat}{2}
   10&x+&3&y=2\\
   3&x+&13&y=4
\end{alignat}

Environments 17

AaBbcC=D\begin{CD}
   A @>a>> B \\
@VbVV @AAcA \\
   C @= D
\end{CD}
\begin{CD}
   A @>a>> B \\
@VbVV @AAcA \\
   C @= D
\end{CD}

样式、颜色、大小和字体

Color 颜色

:-:-
F=ma\color{blue} F=ma\color{blue} F=ma
F=ma\textcolor{blue}{F=ma}\textcolor{blue}{F=ma}
F=ma\textcolor{#228B22}{F=ma}\textcolor{#228B22}{F=ma}
F=ma\colorbox{aqua}{$F=ma$}\colorbox{aqua}{$F=ma$}
F=ma\fcolorbox{red}{aqua}{$F=ma$}\fcolorbox{red}{aqua}{$F=ma$}

Font 字体

:-:-:-:-:-:-
AB\Huge AB\Huge ABAB\normalsize AB\normalsize ABAB\normalsize AB\normalsize AB
AB\huge AB\huge ABAB\huge AB\huge ABAB\small AB\small AB
AB\LARGE AB\LARGE ABAB\LARGE AB\LARGE ABAB\footnotesize AB\footnotesize AB
AB\Large AB\Large ABAB\Large AB\Large ABAB\scriptsize AB\scriptsize AB
AB\large AB\large ABAB\large AB\large ABAB\tiny AB\tiny AB

Style 样式

:-:-:-:-
i=1n\displaystyle\sum_{i=1}^n\displaystyle\sum_{i=1}^ni=1n\textstyle\sum_{i=1}^n\textstyle\sum_{i=1}^n
x\scriptstyle x\scriptstyle xx\scriptscriptstyle x\scriptscriptstyle x
limx\lim\limits_x\lim\limits_xlimx\lim\nolimits_x\lim\nolimits_x
x^2\verb!x^2!\verb!x^2!

另见